Homework Help: calculus

Posted by Sammy-Please,please help!!!! on Tuesday, December 18, 2012 at 11:55am.

Iamhaving a really hard time trying to understand this question. Can someone please show me how to work this question.

Give the following polynomial, find
a. the zeros and the multiplicity of each
b. where the graph crosses or touches the x-axis
c. number of turning points
d. the end behavior

f(x)=(x-1)(x-5)

please show work.

calculus - bobpursley, Tuesday, December 18, 2012 at 12:25pm
u=x-1 dx=du
v=x-5 dx=dv
f=uv
f'=uv'+vu'=(x-1)+(x-5)=2x-6

zeroes: f(x)=0 at x=1,and x=5
f"=2 means it is always increasing, no inflection point.
end behaviour: at x=+- inf, f(x)=+ undef
calculus - Steve, Tuesday, December 18, 2012 at 1:48pm
one small item:

f" > 0 means its always concave up, not increasing. Its slope is always increasing.

Answer this Question

Related Questions

Algebra - I am having such a hard time in this class. Hopefully someone here can...
Algebra 1 - I'm having a hard time understanding distance rate and time word...
Math: Calculus - Assume that a population size at time t is N(t) and that N(t)=...
calculus - Determine the quadratic function f, whose graph is given. **The graph...
calculus - Having a really hard time with this! e^8x^2-5 = 14 solve the ...
Algebra I - Hi, I would like someone to explain to me the process to get to the ...
speech - Can you please help me out with a speech? I'm in 10th grade at High...
CHEMISTRY - I am having a ton of trouble with this lab question, I do not ...
chemistry - I am having a ton of trouble with this lab question, I do not ...
Calculus - Find the intervals where the function f(x)=((2x-1)^2)(x-3)^2 is ...

For Further Reading

First Name:
School Subject:
Answer: